How many anagrams, whose consonants are not together, can be formed with the word EFICIALATE
Wrong
We distinguish four cases:
- Neither the first nor the last letter is a consonant. Using stars and bars we find that there are 4!*6!/(2*2*2)*(6-1 choose 4) such anagrams (the 4! accounts for all the possible ways to order the 4 consonants and the 6!/(2*2*2) accounts for all the possible ways to order the 6 vowels (where we need to divide by 2 thrice because all three distinct vowels appear twice))
- Only the first letter is a consonant. Using stars and bars again we find that there are 4!*6!/(2*2*2)*(6-1 choose 3) such anagrams
- Only the last letter is a consonant. By symmetry there are 4!*6!/(2*2*2)*(6-1 choose 3) such anagrams as well
- Both the first and the last letter are consonants. Using stars and bars one last time we find that there are 4!*6!/(2*2*2)*(6-1 choose 2) such anagrams
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Correct
y=|lnx|
Find the first order derivative of the above function
Find the first order derivative of the above function
Giga mogger iq
For x < 1, y = -ln x, so its derivative is -1/x. For x > 1, y = ln x, so its derivative is 1/x. For x = 1, the derivative does not exist.
Find all functions R (greater than 0)---->R (greater than 0), such that:
f(xy + f(x)) = f(f(x)f(y)) + x
As he pointed out, modulus is just the sqrt raised to the power of two (or any even root raised to its inverse),
So you just have to apply the chain rule and you will find the value, though you have to restrict the domain for it to work
Ah okay
his answer is the same as mine, just way more complicated
Yeah but I've been using him and another YouTube channel called blackpenredpen to revise for my final math exam
ah ok good luck
Thanks, it's all or nothing man, I've been failing like a bitch
You got a hint? I think I know the answer, but I ain't seeing how to prove it.
I
MATH SUCKS!!!!!!!!!!! I HAAAAAAAAAAAAAAAAATTTTTTTTTTTEEEEEEEEEEEE MAAAAAAAAAAAAAAAAAAAAAAAAAAATTTTTTTTTTTTTTTTHHHHHHHHHHHHH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
This, along with the incenter and pi plane problems, was one of the only problems I couldn't solve by myself, so I can't give much details.
Either way, the solution is here (though it's not in english):
View: https://www.youtube.com/watch?v=OoCSBMZkZLY
No wonder I couldn't figure out how to prove my ultimately correct intuition
All logs are in base 2.
Knowing that x belongs to the closed interval (1, 64), find the maximum value of the follwing function
F(x) = (logx) to the power of 4 + 12(logx) to the power of 2 . log(8/x)
Knowing that x belongs to the closed interval (1, 64), find the maximum value of the follwing function
F(x) = (logx) to the power of 4 + 12(logx) to the power of 2 . log(8/x)
Be Z a complex number. Given that the absolute value of Z is sqrt(3)/3 and that Z satisfies the following relation:
2(z - 1) to the power of 2017 = (sqrt(3) + i)(iZ - 1) to the power of 2017 (last only parenthesis in that case)
Find the value of z
2(z - 1) to the power of 2017 = (sqrt(3) + i)(iZ - 1) to the power of 2017 (last only parenthesis in that case)
Find the value of z
Let u = lg x. Then F(x) = u^4 + 12u^2(3 - u) = u^2(u^2 - 12u + 36) = u^2(u - 6)^2 = (u(6 - u))^2, which is clearly maximal when u = 3, in which case the function takes the value 9^2 = 81.
Correct
I need someone to check my answer
Find y prime:
x^y=y^x
Ans: y prime = [ln(y)-y/x]/[ln(x)-x/y]
Find y prime:
x^y=y^x
Ans: y prime = [ln(y)-y/x]/[ln(x)-x/y]
seems good to me
Three players sit in a desk to play a game.
Alternately, each player rolls a non vicious cubic dice and, after each player rolls it, the player to its right gets to play.
If 1 is rolled, then the player to its left gets to play.
The one who rolls 6 wins the game.
Given that, what are the odds of the player that played first to win the game (not necessarily in his first play)?
Alternately, each player rolls a non vicious cubic dice and, after each player rolls it, the player to its right gets to play.
If 1 is rolled, then the player to its left gets to play.
The one who rolls 6 wins the game.
Given that, what are the odds of the player that played first to win the game (not necessarily in his first play)?
using Markov chain methods I arrive at 32/79
Correct
Circumference C has equation x² + y² = 16. Let C' be a circle of radius 1 that moves internally tangent to circle C, without slipping between the contact points, that is, C' rolls internally on C.
Point P on C' is defined so that at the beginning of the movement of C', point P coincides with the point of tangency (4,0), as shown in figure a. After a certain displacement, the angle between the x axis and the straight line joining the center of the circles is α, as shown in figure b.
Determine the coordinates of the point P marked on C' as a function of the angle α.
Point P on C' is defined so that at the beginning of the movement of C', point P coincides with the point of tangency (4,0), as shown in figure a. After a certain displacement, the angle between the x axis and the straight line joining the center of the circles is α, as shown in figure b.
Determine the coordinates of the point P marked on C' as a function of the angle α.
Circumference C has equation x² + y² = 16. Let C' be a circle of radius 1 that moves internally tangent to circle C, without slipping between the contact points, that is, C' rolls internally on C.
Point P on C' is defined so that at the beginning of the movement of C', point P coincides with the point of tangency (4,0), as shown in figure a. After a certain displacement, the angle between the x axis and the straight line joining the center of the circles is α, as shown in figure b.
Determine the coordinates of the point P marked on C' as a function of the angle α.
I think I'll return to studying for my physics paper
Here is a physics problem:
Consider a capacitor octahedron, such that there is a capacitor between each vertex of capacitance C.
Each pair of vertex, sharing an edge or not, has a capacitor between it.
Calculate the equivalent capacitance between two neighbor vertex of the solid
x = 3cos(α) + cos(-3α) = 3cos(α) + cos(3α) & y = 3sin(α) + sin(-3α) = 3sin(α) - sin(3α)Circumference C has equation x² + y² = 16. Let C' be a circle of radius 1 that moves internally tangent to circle C, without slipping between the contact points, that is, C' rolls internally on C.
Point P on C' is defined so that at the beginning of the movement of C', point P coincides with the point of tangency (4,0), as shown in figure a. After a certain displacement, the angle between the x axis and the straight line joining the center of the circles is α, as shown in figure b.
Determine the coordinates of the point P marked on C' as a function of the angle α.
Correct
YOU WON'T FIND ANY OOGAA KARABOGAS HERE!!!!!!!!!!!!! FUCKING NIGGERS
Turkey is europe, inform yourself
@trying to ascend
hit me up with a math problem. i have an exam in a few minutes, but gimme something fun to come back to. i'll probably seriously keep up with this math problem thread just like the old one i used to do with @Divergent_Integral
hit me up with a math problem. i have an exam in a few minutes, but gimme something fun to come back to. i'll probably seriously keep up with this math problem thread just like the old one i used to do with @Divergent_Integral
Sure, though I'm studying more physics nowadays, that's why the thread is often empty of new problems.
Find the function f(x), such that
f((x-3)/(x + 1)) + f((x + 3)/(1 - x)) = x
Consider the ellipse below, where DD' is a chord passing through its center, MM' is a locus chord, and the major axis of the ellipse is 2a.
Prove that: DD' ²= MM' . 2a
Prove that: DD' ²= MM' . 2a
W
Why would i care about this nerd shit
Pass a hard entrance exam, become a STEM graduate in a good Uni, make >150k working at a big tech company
L + ratio = pwned
W
@Ahnfeltia
oh whoops for some reason i thought this was the "Fun facts about incels" thread
You don't say. Your post was pretty apt tho. I just wanted to make a shitty vaguely-math-related quip.
I might learn math from Duolingo
I thought you were joking but after a quick search Duolingo does actually have a math-oriented whatchamacallit.
I should be right at home here with a masters in math but I don't know how to solve the penultimate problem, and I was always weak in geometry. I'm really good at calculus, though. Taking a derivative or inverse just seems to make it worse.
you have a masters in math. you should be able to solve it. i could definitely solve it, i just need to read a wikipedia article on ellipses so i can understand wtf the terminology means
Yeah I can certainly cheat and google it lol
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